← Mathematical compendium

Published equation contexts

V(T)=(TT0)−CV(T)=\left(\frac{T}{T_0}\right)^{-C}

Why this formula appears here

The nonextremal exponential is not universal. Gralla and Wei find that at zero surface gravity a scalar/Klein–Gordon analogue can cross to power-law overlap, V(T)=(TT0)−CV(T)=\left(\frac{T}{T_0}\right)^{-C}. while in their electromagnetic extremal Kerr limit the relevant horizon flux is expelled: both the surface gravity and electromagnetic decohering flux vanish because the external field does not penetrate the horizon [ 3 ] . For a genuine power law with C>0 , a threshold clock scales as a power of the required overlap rather than a logarithm. For the screened electromagnetic case, no horizon record accumulates through that channel.

Read the full article-specific guide →

Read the representative guide

T0T_0

Symbol T_0

T0T_0 occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Read this term in its guide →

How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

V(T)=(TT0)−C,V(T)=\left(\frac{T}{T_0}\right)^{-C},

Equation 47 · Evolutionary Physics

How Fast Can a Horizon Learn Which Path You Took?

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

The nonextremal exponential is not universal. Gralla and Wei find that at zero surface gravity a scalar/Klein–Gordon analogue can cross to power-law overlap, V(T)=(TT0)−CV(T)=\left(\frac{T}{T_0}\right)^{-C}. while in their electromagnetic extremal Kerr limit the relevant horizon flux is expelled: both the surface gravity and electromagnetic decohering flux vanish because the external field does not penetrate the horizon [ 3 ] . For a genuine power law with C>0 , a threshold clock scales as a power of the required overlap rather than a logarithm. For the screened electromagnetic case, no horizon record accumulates through that channel.

Equation guide → · Article →